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Worksheets

12/17/18 ALGEBRA

Total questions: 68

Worksheet time: 2hrs 45mins

Name
Class
Date
1.
Find the PERIMETER of a TRIANGULAR road sign whose dimensions are:  (4x + 11), (5x + 6), and (2x + 3)
a)
11x + 8
b)
x + 20
c)
11x + 20
d)
12x + 14
2.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
3.
What is the range of the graph?
a)
x≤0
b)
y≥0
c)
y≤0
d)
All real numbers
4.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
5.
What is the domain of the graph?
a)
x≥-1 
b)
x≥-2 
c)
y≥-1
d)
y≤-2
6.
What is the domain of the function?
a)
D:{ x is greater than or equal to 3}
b)
D:{x is less than or equal to 3}
c)
D:{all real numbers}
d)
D:{ x is all real numbers between and including -1 and 5}
7.
What is the range of the function given below?
a)
0 ≤ y ≤ 7
b)
-2 ≤ y ≤ 4
c)
.2 ≤ y ≤ 4
d)
All real numbers
8.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
9.
What is the domain?
a)
{-2, -1, 0, 1, 8}
b)
{3, 5, 7 , 9, 0}
c)
{-2, -1, 0, 1, 3, 5, 7, 8, 9}
d)
{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
10.
.
a)
Function
b)
Not a Function
11.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
12.
Evaluate f(x)=-2x+13   for f(10)
a)
-7
b)
1
c)
-8
d)
7
13.
Evaluate f(33)
a)
33
b)
11
c)
10
d)
8
14.
Which of the following equations match the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
15.
Which of the following equations match the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
16.
Which of the following equations match the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤  2/5x + 1
d)
y ≥ -2/5x - 1
17.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
18.
What is the slope of a line that is parallel to y=2?
a)
0
b)
Undefined
c)
2
d)
21
19.
What is the slope of a line that is perpendicular to y=2?
a)
0
b)
Undefined
c)
2
d)
21
20.
Which of the following equations represents the graph of a line parallel to the x-axis and passing through the point (-2, 3)?
a)
y=3x
b)
y=3
c)
x=3y
d)
x=3
21.
(3x + 4y - 3z) - (2x - 6y + 7z)
a)
x + 10y - 10z
b)
-x +10y - 10z
c)
x -10y - 10z
d)
-x -10y - 10z
22.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
23.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
24.
Simplify the expression:
n -10 +9n -3
a)
-3
b)
9n-3
c)
n
d)
10n -13
25.
X+X+X+X+X
a)
X + 5 
b)
5X
c)
X+X+X+X+X+5
d)
X to the 5th power 
26.
2(4X-7)
a)
8x-14
b)
8x-7
c)
6x+7
d)
8x+14
27.
-4(-4d - 5)
a)
-16d+20
b)
16+20
c)
16d+20
d)
16s-20
28.
-(6 - 4p) 
a)
6-4p
b)
6+4p
c)
-6+4p
d)
6p-4
29.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
30.

Evaluate f(3).

a)

2

b)

-3

c)

0

d)

6

31.
Given 
f(x)= 2x2 + 5x - 17, find f(-1). 
a)
f(-1) = -20
b)
f(-1) = -24
32.

Which point satisfies the function f(x)=x+3

a)

(2,3)

b)

(1,3)

c)

(1,-3)

d)

(1,4)

33.

Given the set of coordinates, (4,5) (5,4) (-4,3) (3,1) (0,4) (2,0), what is f(0)?

a)

4

b)

2

c)

1

d)

5

34.
Which is a zero of the graph?
a)
0
b)
-1
c)
1.5
d)
-3
35.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
36.
a)
Function
b)
Not a Function
37.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
38.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
39.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
40.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
41.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
42.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
43.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
44.
Fine the slope of:
y = -6
a)
0
b)
-6
c)
undefined
d)
1
45.

What is the equation of the red graph pictured?

a)

y = -4

b)

x = -4

c)

y = 4

d)

x = 4

46.

What is the equation of the red graph pictured?

a)

y = 3

b)

x = 3

c)

y = -3

d)

x = -3

47.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
48.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
49.
A line is parallel to   y = 2x - 7.
What is it's slope?
a)
-2
b)
1/2
c)
-1/2
d)
2
50.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
51.
A line with 0 slope looks like...
a)
A horizontal line
b)
A vertical line
c)
A slanted line
d)
A coordinate pair
52.
Write in slope-intercept form:
-3x + 4y = 12
a)
y = 3/4x + 3
b)
y = -3/4 x + 3
c)
y = -4x + 3
d)
y = 4x + 3
53.

Solve for y=


-3y + 5x = 12

a)

y = -4 + 5x

b)

y = 5/3x - 4

c)

y = 4 - 5/3x

d)

y = 12 + 5x

54.

Solve for y


x - y = 2

a)

y = -x + 2

b)

y = x - 2

c)

x = 2

d)

y = 27, 239, 430

55.

Solve for y=

-3y + 5x = 12

a)

y = -4 + 5x

b)

y = -4 + 5/3x

c)

y = 4 - 5/3x

d)

y = 12 + 5x

56.
Determine the slope and y-intercept from the following equation:   4x + y = -10
a)
slope: 4   y-intercept:  (0,10)
b)
slope: -4   y-intercept:  (0,-10)
c)
slope: -4   y-intercept:  (0,10)
d)
slope: 4   y-intercept:  (0,-10)
57.
convert to slope intercept form:
y - 5 = 5(x + 4)
a)
y = 5x - 5
b)
y = 5x - 2
c)
y = 5x + 25
58.

What is the standard form of the equation below?

y = -x +4

a)

-x + 4 + y = 0

b)

-x - y = -4

c)

x - y = -4

d)

x + y = 4

59.

What is the equation below, in standard form?

y = (-1/4)x - 4

a)

x - 4y = 4

b)

x + 4y = -16

c)

x - 4y = -16

d)

x + 4y = -4

60.

Is the equation below in standard form?

-5x + 2y = 10

a)

Yes, A is a whole number

b)

Yes, all of the terms are in order

c)

No, the terms are not in order

d)

No, A must be positive

61.

What is the first step to converting this equation into standard form?

y = -x + 4

a)

Subtract x from both sides

b)

Multiply all terms by a negative

c)

Add x to both sides

d)

Divide each term by a negative

62.

What is the final step to converting this equation into standard form?

(4/10)x + y = -2

a)

Multiply both sides by 10

b)

Subtract 2 from both sides

c)

Divide both sides by 10

d)

Change the signs of each term

63.
Convert the standard form equation into slope-intercept form.
4x - 3y = 15
a)
y = (4/3)x - 5
b)
y = ⅔x - 5
c)
x = ¾
d)
y = 27, 239, 430
64.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
65.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
66.

Which point satisfies the system of equations shown in the table?

a)

(-2, -5)

b)

(0, -5)

c)

(6, 7)

d)

(7, 7)

67.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
68.
The solution of a system of linear equations is...
a)
the y-intercept (b)
b)
the intersection of the two equations on a graph
c)
the second equations' answers
d)
the slope (m)